Convex and Stochastic Optimization

This textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting. It introduces and analyses the main algorithms for stochastic programs, while the theoreti...

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Bibliographic Details
Main Author: Bonnans, J. Frédéric
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Convex and Stochastic Optimization  |h Elektronische Ressource  |c by J. Frédéric Bonnans 
250 |a 1st ed. 2019 
260 |a Cham  |b Springer International Publishing  |c 2019, 2019 
300 |a XIII, 311 p  |b online resource 
505 0 |a 1 A convex optimization toolbox -- 2 Semidefinite and semiinfinite programming -- 3 An integration toolbox -- 4 Risk measures -- 5 Sampling and optimizing -- 6 Dynamic stochastic optimization -- 7 Markov decision processes -- 8 Algorithms -- 9 Generalized convexity and transportation theory -- References -- Index. 
653 |a Optimization 
653 |a Probability Theory 
653 |a Mathematical optimization 
653 |a Probabilities 
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082 0 |a 519.6 
520 |a This textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting. It introduces and analyses the main algorithms for stochastic programs, while the theoretical aspects are carefully dealt with. The reader is shown how these tools can be applied to various fields, including approximation theory, semidefinite and second-order cone programming and linear decision rules. This textbook is recommended for students, engineers and researchers who are willing to take a rigorous approach to the mathematics involved in the application of duality theory to optimization with uncertainty